# 1024

## 1,024 is an even composite number. It is composed of a single prime number multiplied by itself nine times.

What does the number 1024 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 11 divisors.

1024 is an even composite number. It is composed of one distinct prime number multiplied by itself nine times. It has a total of eleven divisors.

## Prime factorization of 1024:

### 210

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 1024 from the Numbermatics database.

### Names of 1024

• Cardinal: 1024 can be written as One thousand and twenty-four.

### Scientific notation

• Scientific notation: 1.024 × 103

### Factors of 1024

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2

### Divisors of 1024

• Number of divisors d(n): 11
• Complete list of divisors:
• Sum of all divisors σ(n): 2047
• Sum of proper divisors (its aliquot sum) s(n): 1023
• 1024 is a deficient number, because the sum of its proper divisors (1023) is less than itself. Its deficiency is 1

### Bases of 1024

• Binary: 100000000002
• Base-36: SG

### Squares and roots of 1024

• 1024 squared (10242) is 1048576
• 1024 cubed (10243) is 1073741824
• 1024 is a perfect square number. Its square root is 32
• The cube root of 1024 is 10.0793683991

### Scales and comparisons

How big is 1024?
• 1,024 seconds is equal to 17 minutes, 4 seconds.
• To count from 1 to 1,024 would take you about seventeen minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1024 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1024

• 1024 backwards is 4201
• The number of decimal digits it has is: 4
• The sum of 1024's digits is 7
• More coming soon!